Answer:
This is a vertical angle theorem
Step-by-step explanation:
Vertical angles are a pair of opposite angles formed by intersecting lines. In the figure, ∠1 and ∠3 are vertical angles. ... Vertical angles are always congruent . So, in this figure, ∠1≅∠3 and ∠2≅∠4 .
Answer: 0.01
Step-by-step explanation:
Let the events are :
C = paving stones found to be cracked.
D = paving stones found to be discolored.
Given : Total stones : T = 600 (i)
C = 15
D= 27
C'∩D'= 564 (ii)
Since C'∩D' = (C∪D)' = T- C∪D (iii)
From (i) , (ii)and (ii) , we have
564 = 600- C∪D
⇒ C∪D=600- 564= 36
Formula : C∩D= C+D- C∪D
Put values , we get
C∩D= 15+27-36=6
Now ,
The probability that it is both cracked and distorted is 0.01.